Finding kth term of a sequence

1. Nov 19, 2007

becca4

1. The problem statement, all variables and given/known data
See picture

It's (sigma) from k (possibly n?)=1 to +infinity of $$U_{k}$$ = 2 - (1/n)

$$U_{100}$$

limit as k goes to infinity of $$U_{k}$$

and sigma from k=1 to inf. of $$U_{k}$$

2. Relevant equations
If I'm not mistaken, 2 - 1/n is the closed for for the sum, right? I'm just not sure where to go from there...

3. The attempt at a solution
None. (

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Last edited: Nov 19, 2007
2. Nov 19, 2007

EnumaElish

Is the series $\sum_{k=1}^\infty(2-1/n)$? Or is it $\sum_{k=1}^\infty U_k$ = 2-1/n ?

3. Nov 19, 2007

becca4

the latter. Thanks!!